Glycolytic Oscillator
Selkov model variant — biochemical oscillations in glycolysis
α (substrate influx):
0.06
β (enzymatic rate):
0.30
Speed:
3
x
Reset trajectory
Clear trail
Selkov model (1968)
dx/dt = α − βxy²
dy/dt = βxy² − y
x
= ATP (substrate)
y
= ADP (product/enzyme)
Oscillations exist when nullclines create an unstable fixed point. The system settles onto a
limit cycle
— sustained biochemical oscillations.
Nullclines shown:
red
= dx/dt=0
blue
= dy/dt=0